Average Error: 0.0 → 0.0
Time: 6.9s
Precision: binary64
\[\cos x \cdot \frac{\sinh y}{y} \]
↓
\[\frac{\sinh y}{y} \cdot \cos x \]
(FPCore (x y) :precision binary64 (* (cos x) (/ (sinh y) y)))
↓
(FPCore (x y) :precision binary64 (* (/ (sinh y) y) (cos x)))
double code(double x, double y) {
	return cos(x) * (sinh(y) / y);
}
↓
double code(double x, double y) {
	return (sinh(y) / y) * cos(x);
}

real(8) function code(x, y)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    code = cos(x) * (sinh(y) / y)
end function
↓
real(8) function code(x, y)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    code = (sinh(y) / y) * cos(x)
end function

public static double code(double x, double y) {
	return Math.cos(x) * (Math.sinh(y) / y);
}
↓
public static double code(double x, double y) {
	return (Math.sinh(y) / y) * Math.cos(x);
}

def code(x, y):
	return math.cos(x) * (math.sinh(y) / y)
↓
def code(x, y):
	return (math.sinh(y) / y) * math.cos(x)

function code(x, y)
	return Float64(cos(x) * Float64(sinh(y) / y))
end
↓
function code(x, y)
	return Float64(Float64(sinh(y) / y) * cos(x))
end

function tmp = code(x, y)
	tmp = cos(x) * (sinh(y) / y);
end
↓
function tmp = code(x, y)
	tmp = (sinh(y) / y) * cos(x);
end

code[x_, y_] := N[(N[Cos[x], $MachinePrecision] * N[(N[Sinh[y], $MachinePrecision] / y), $MachinePrecision]), $MachinePrecision]
↓
code[x_, y_] := N[(N[(N[Sinh[y], $MachinePrecision] / y), $MachinePrecision] * N[Cos[x], $MachinePrecision]), $MachinePrecision]

\cos x \cdot \frac{\sinh y}{y}
↓
\frac{\sinh y}{y} \cdot \cos x

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\cos x \cdot \frac{\sinh y}{y} \]

  2. Applied *-commutative_binary640.0

    \[\leadsto \color{blue}{\frac{\sinh y}{y} \cdot \cos x} \]

  3. Final simplification0.0

    \[\leadsto \frac{\sinh y}{y} \cdot \cos x \]

Reproduce

herbie shell --seed 2022131 
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))